Average errors for Kantorovitch operators on r-fold integrated Wiener space

作者：Xu Guiqiao^*; Gao Xingrui

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2014, 12(5): 1461013.

DOI：10.1142/S021969131461013X

• Kantorovitch operator
• weighted L-p-norm
• r-fold integrated Wiener space
• average error

For weighted approximation in L-p-norm, we determine strongly asymptotic orders for simultaneous approximation average errors of sequence of Kantorovitch operators on r-fold integrated Wiener space. These results show the saturation properties of the Kantorovitch operators in the average case setting.

• 出版日期2014-9
• 单位天津师范大学